document.write( "Question 835306: Solve the following LP problem graphically:
\n" ); document.write( "Minimize cost = 24X + 15Y
\n" ); document.write( "Subject to: 7X + 11Y Ú 77
\n" ); document.write( "16X + 4Y Ú 80
\n" ); document.write( "X, Y Ú 0 \n" ); document.write( "

Algebra.Com's Answer #503518 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Minimize:
\n" ); document.write( " $\"C=24X%2B15Y\"$
\n" ); document.write( "With constraints:
\n" ); document.write( " $\"7x%2B11y=77\"$
\n" ); document.write( " $\"16x%2B4y=0\"$
\n" ); document.write( " $\"x=0\"$
\n" ); document.write( " $\"y=0\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"graph%28300%2C300%2C-5%2C15%2C-5%2C15%2C%2877-7x%29%2F11%2C-4x%29\"$
\n" ); document.write( "Find the intersection points,
\n" ); document.write( " $\"x=11\"$ , $\"y=0\"$
\n" ); document.write( " $\"x=0\"$ , $\"y=0\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "When $\"x=0\"$ ,
\n" ); document.write( " $\"7%280%29%2B11y=77\"$
\n" ); document.write( " $\"y=7\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "

\n" ); document.write( ".
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "The extrema of the function occurs at the vertices.
\n" ); document.write( " $\"C=24X%2B15Y\"$
\n" ); document.write( " $\"C=24%2811%29%2B15%280%29=264\"$
\n" ); document.write( " $\"C=24%280%29%2B15%280%29=0\"$
\n" ); document.write( " $\"C=24%280%29%2B15%287%29=105\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );